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Finding the Third Proportional to 108,182 and 236,047

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Solution

The third proportional to 108,182 and 236,047 is: 515,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,182 : 236,047 = 236,047 : x
  2. Step 2: Convert to fraction form
    108,182/236,047 = 236,047/x
  3. Step 3: Cross multiply
    108,182x = 236,047 × 236,047
  4. Step 4: Simplify right side
    108,182x = 55,718,186,209
  5. Step 5: Solve for x
    x = 55,718,186,209/108,182
  6. Step 6: Final answer
    x = 515,041.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.